Details

sample67.0ms

Algorithm

intervals

Results

35.0ms	269×	body	80	valid
1.0ms	2×	body	1280	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	12	15
1	54	15
2	147	14
3	334	14
4	996	14
5	3305	14
done	5000	14

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh (/ t y))
0.7b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.9b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
9×	`frac-sub`
7×	`tanh-def`
5×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

3.0ms	(tanh (/ t y))
57.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series787.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(tanh (/ t y))
324.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
368.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify1.1s

Counts

86 → 86

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	196	2041
1	458	1690
2	1452	1438
done	5000	1286

prune397.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.2b	(expm1 (tanh (/ t y)))
0.7b	(* z (- (log1p (expm1 (tanh (/ t y)))) (tanh (/ x y))))
0.9b	(fma y (* z (- (log1p (expm1 (tanh (/ t y)))) (tanh (/ x y)))) x)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r` `log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`associate-l`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `tanh-def` `distribute-lft-out--` `expm1-udef` `difference-of-squares` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

2.0ms	(tanh (/ t y))
0.0ms	(expm1 (tanh (/ t y)))
52.0ms	(* z (- (log1p (expm1 (tanh (/ t y)))) (tanh (/ x y))))
1.0ms	(fma y (* z (- (log1p (expm1 (tanh (/ t y)))) (tanh (/ x y)))) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

100.0ms	(tanh (/ t y))
115.0ms	(expm1 (tanh (/ t y)))
372.0ms	(* z (- (log1p (expm1 (tanh (/ t y)))) (tanh (/ x y))))
502.0ms	(fma y (* z (- (log1p (expm1 (tanh (/ t y)))) (tanh (/ x y)))) x)

simplify3.2s

Counts

91 → 91

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	169	1972
1	339	1467
2	939	1203
3	4653	1039
done	5000	1039

prune340.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(+ (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) x)
5.6b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
30×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
11×	`associate-*r/`
9×	`frac-sub`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`tanh-def`
5×	`associate-r` `add-log-exp`
4×	`sub-neg`
3×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 103

Calls

3 calls:

4.0ms	(tanh (/ t y))
63.0ms	(+ (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) x)
74.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series814.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(tanh (/ t y))
411.0ms	(+ (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) x)
281.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.6s

Counts

112 → 112

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	219	2913
1	620	2282
2	2284	1916
done	5002	1674

prune479.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* 2 (/ t y)))
0.2b	(- (/ (expm1 (* 2 (/ t y))) (+ (pow (exp 2) (/ t y)) 1)) (tanh (/ x y)))
0.3b	(/ (expm1 (* 2 (/ t y))) (+ (pow (exp 2) (/ t y)) 1))
5.3b	(* (* y z) (- (/ (expm1 (* 2 (/ t y))) (+ (pow (exp 2) (/ t y)) 1)) (tanh (/ x y))))

rewrite606.0ms

Algorithm

rewrite-expression-head

Rules

220×	`*-un-lft-identity`
162×	`prod-diff`
158×	`add-sqr-sqrt`
148×	`add-cube-cbrt`
134×	`times-frac`
56×	`distribute-rgt-in` `distribute-lft-in`
34×	`distribute-lft-out`
22×	`associate-/r/`
18×	`fma-neg`
11×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `div-inv`
9×	`pow1`
6×	`associate-r` `frac-sub` `add-log-exp`
5×	`associate-*r/` `log1p-expm1-u`
4×	`expm1-log1p-u` `associate-/r*` `difference-of-squares`
3×	`sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `expm1-udef`
2×	`flip3--` `div-sub` `flip--` `tanh-def` `distribute-lft-out--`
1×	`cbrt-undiv` `associate--l-` `expm1-log1p` `frac-2neg` `diff-log` `div-exp` `associate-l` `clear-num` `*-commutative`

Counts

4 → 280

Calls

4 calls:

0.0ms	(expm1 (* 2 (/ t y)))
179.0ms	(- (/ (expm1 (* 2 (/ t y))) (+ (pow (exp 2) (/ t y)) 1)) (tanh (/ x y)))
31.0ms	(/ (expm1 (* 2 (/ t y))) (+ (pow (exp 2) (/ t y)) 1))
378.0ms	(* (* y z) (- (/ (expm1 (* 2 (/ t y))) (+ (pow (exp 2) (/ t y)) 1)) (tanh (/ x y))))

series787.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(expm1 (* 2 (/ t y)))
367.0ms	(- (/ (expm1 (* 2 (/ t y))) (+ (pow (exp 2) (/ t y)) 1)) (tanh (/ x y)))
130.0ms	(/ (expm1 (* 2 (/ t y))) (+ (pow (exp 2) (/ t y)) 1))
254.0ms	(* (* y z) (- (/ (expm1 (* 2 (/ t y))) (+ (pow (exp 2) (/ t y)) 1)) (tanh (/ x y))))

simplify2.3s

Counts

292 → 292

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	346	14928
1	854	11659
2	2563	10047
done	5000	8235

prune946.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (1.6b remaining)

Error of 2.0b against oracle of 0.4b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	14	16
done	14	16

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s	8336×	body	80	valid
57.0ms	108×	body	640	valid
18.0ms	45×	body	1280	valid
10.0ms	50×	body	320	valid
5.0ms	35×	body	160	valid